4309902638496 has 1152 divisors, whose sum is σ = 16003251855360. Its totient is φ = 1118418223104.

The previous prime is 4309902638413. The next prime is 4309902638513. The reversal of 4309902638496 is 6948362099034.

4309902638496 is a `hidden beast` number, since 4 + 3 + 0 + 9 + 90 + 26 + 38 + 496 = 666.

It is a super-2 number, since 2×4309902638496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13769656836 + ... + 13769657148.

It is an arithmetic number, because the mean of its divisors is an integer number (13891711680).

Almost surely, 2^{4309902638496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4309902638496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001625927680).

4309902638496 is an abundant number, since it is smaller than the sum of its proper divisors (11693349216864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4309902638496 is a wasteful number, since it uses less digits than its factorization.

4309902638496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 4309902638496 in words is "four trillion, three hundred nine billion, nine hundred two million, six hundred thirty-eight thousand, four hundred ninety-six".